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Binet formula

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  • Cauchy-Binet formula — In linear algebra, the Cauchy Binet formula generalizes the multiplicativity of the determinant (the fact that the determinant of a product of two square matrices is equal to the product of the two determinants) to non square matrices. Suppose A… …   Wikipedia

  • Binet — is surname of French origin, shared by the following people:*Alfred Binet, a 19th century French psychologist and inventor of the first usable intelligence test **The Stanford Binet IQ test is partially named after Alfred Binet. *Jacques Philippe …   Wikipedia

  • Binet–Cauchy identity — In algebra, the Binet–Cauchy identity, named after Jacques Philippe Marie Binet and Augustin Louis Cauchy, states that: iggl(sum {i=1}^n a i c iiggr)iggl(sum {j=1}^n b j d jiggr) = iggl(sum {i=1}^n a i d iiggr)iggl(sum {j=1}^n b j c… …   Wikipedia

  • Jacques Philippe Marie Binet — (February 2, 1786 May 12, 1856) was a French mathematician, physicist and astronomer born in Rennes; he died in Paris, France, in 1856. He made significant contributions to number theory, and the mathematical foundations of matrix algebra which… …   Wikipedia

  • Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …   Wikipedia

  • Perrin number — In mathematics, the Perrin numbers are defined by the recurrence relation: P (0) = 3, P (1) = 0, P (2) = 2, and : P ( n ) = P ( n − 2) + P ( n − 3) for n > 2.The series begins:3, 0, 2, 3, 2, 5, 5, 7, 10, 12, 17, 22, 29, 39 ... OEIS|id=A001608The… …   Wikipedia

  • Minor (linear algebra) — This article is about a concept in linear algebra. For the unrelated concept of minor in graph theory, see Minor (graph theory). In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by… …   Wikipedia

  • Padovan sequence — The Padovan sequence is the sequence of integers P ( n ) defined by the initial values :P(0)=P(1)=P(2)=1,and the recurrence relation:P(n)=P(n 2)+P(n 3).The first few values of P ( n ) are:1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65,… …   Wikipedia

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

  • Kirchhoff's theorem — In the mathematical field of graph theory Kirchhoff s theorem or Kirchhoff s matrix tree theorem named after Gustav Kirchhoff is a theorem about the number of spanning trees in a graph. It is a generalization of Cayley s formula which provides… …   Wikipedia

  • Augustin Louis Cauchy — Infobox Scientist name = Augustin Louis Cauchy image width = 200px caption = Augustin Louis Cauchy birth date = birth date|1789|8|21|df=y birth place = Paris, France death date = death date and age|1857|5|23|1789|8|21|df=y death place = Sceaux,… …   Wikipedia

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